Search a number
-
+
106395589 is a prime number
BaseRepresentation
bin1100101011101…
…11011111000101
321102012110022101
412111313133011
5204214124324
614320232101
72431230136
oct625673705
9242173271
10106395589
115506a643
122b76b631
1319072891
14101b7c8d
159519944
hex65777c5

106395589 has 2 divisors, whose sum is σ = 106395590. Its totient is φ = 106395588.

The previous prime is 106395587. The next prime is 106395599. The reversal of 106395589 is 985593601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53949025 + 52446564 = 7345^2 + 7242^2 .

It is a cyclic number.

It is not a de Polignac number, because 106395589 - 21 = 106395587 is a prime.

It is a super-2 number, since 2×1063955892 = 22640042717313842, which contains 22 as substring.

Together with 106395587, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106395587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53197794 + 53197795.

It is an arithmetic number, because the mean of its divisors is an integer number (53197795).

Almost surely, 2106395589 is an apocalyptic number.

It is an amenable number.

106395589 is a deficient number, since it is larger than the sum of its proper divisors (1).

106395589 is an equidigital number, since it uses as much as digits as its factorization.

106395589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 291600, while the sum is 46.

The square root of 106395589 is about 10314.8237503120. The cubic root of 106395589 is about 473.8503521492.

The spelling of 106395589 in words is "one hundred six million, three hundred ninety-five thousand, five hundred eighty-nine".